A description is given the computation and use of tables of the probability integral of the range, percentage points of the range, and moments of the range for samples from a normal distribution. The following tables are included:(1) an eight-decimal-place table of the probability integral of the (standardized) mange, W=w/a, at intervals of 0.01 for samples of size n=2(1) 20(2) 40(10) 100; (2) a six-decimal-place table, percentage points of the range for the same values of n and cumulative probability P=.0001,.0005,.001,.005,.01,.025,.05,.1(.1).9,.95,.975,.99,.995,.999,.9995 and .9999; and (3) a table of moments of the range [mean to 10 decimal places 91] significant figures), variance to 10 decimal places (10 significant figures), skewness to 8 decimal places (8significant figures) and elongation(sometimes inappropriately called kurtosis) to 7 decimal places (8significant figures)] for samples of size n=2(1) 100.
展开▼